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Function 1(a) - Intercepts

May 9, 2026Computer Science

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Graph of f(x) = x³ − 12x² + 36x

Here are the solutions for , question 1.

Step 1: Function 1(a) - Intercepts
The function is $f(x) = x^3 - 12x^2 + 36x$ .
To find the y-intercept, set $x=0$ :

f(0) = (0)^3 - 12(0)^2 + 36(0) = 0

The y-intercept is $\boxed{(0, 0)}$ .
To find the x-intercepts, set $f(x)=0$ :

x^3 - 12x^2 + 36x = 0

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